In 2HDMs, the observed 126 GeV resonance can be identified with any of the two CP-even Higgs bosons.In this paper, we work in the CP-conserving case i.e, we assume all the parameters to be real. The CP-violating case (see [1]} for a review) is interesting in its own right as it can significantly modify the phenomenology (see for example Ref. [2]} and references therein). We will leave the CP-violating case for a future study.
In the present paper we identified this resonance with the lightest CP-even scalar \(h\) . This interpretation is possible in all four 2HDMs types considered here. In particular, we chose the limit \(\beta -\alpha =\pi /2\)  in which the couplings of the light CP-even neutral Higgs \(h\)  with the gauge bosons and fermions attain the SM values. In fact, the measured signal strengths and production cross section of such a particle are in very good agreement with the corresponding SM predictions [3]}, [4]}, [5]}, [6]}, [5]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}.
